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Finding the Third Proportional to 290,259 and 448,321

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Solution

The third proportional to 290,259 and 448,321 is: 692,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,259 : 448,321 = 448,321 : x
  2. Step 2: Convert to fraction form
    290,259/448,321 = 448,321/x
  3. Step 3: Cross multiply
    290,259x = 448,321 × 448,321
  4. Step 4: Simplify right side
    290,259x = 200,991,719,041
  5. Step 5: Solve for x
    x = 200,991,719,041/290,259
  6. Step 6: Final answer
    x = 692,456.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.